Singular Riemannian Foliations and Isoparametric Submanifolds Page 1 Singular Riemannian
Foliations and Isoparametric Submanifolds Gudlaugur Thorbergsson Abstract. We will explain …

A singular foliation is called a singular Riemannian foliation (SRF) if every geodesic that is
perpendicular to one leaf is perpendicular to every leaf it meets. A typical example is the …

A group action is called polar if there exists an immersed submanifold (a section) which
intersects all orbits orthogonally. We show how to construct a manifold admitting a polar …

This paper introduces the notion of k-isoparametric hypersurface in an (n+ 1)-dimensional
Riemannian manifold for k= 0, 1,..., n. Many fundamental and interesting results (towards the …

We will show how isoparametric submanifolds and polar actions on round spheres lead to
polar foliations and polar actions on compact symmetric spaces and compact Riemannian …

We conclude the classification of isoparametric (or equivalently, polar) foliations of complex
and quaternionic projective spaces. This is done by investigating the projections of certain …

In this paper, we investigate the mean curvature flows having an equifocal submanifold in a
symmetric space of compact type and its focal submanifolds as initial data. It is known that …

Austere submanifolds and arid submanifolds constitute respectively two different classes of
minimal submanifolds in finite dimensional Riemannian manifolds. In this paper we …

A hypersurface in a Riemannian manifold is called isoparametric if it and its nearby
equidistant hypersurfaces have constant mean curvature. These geometric objects, as well …

It is known that an isometric action of a Lie group on a compact symmetric space gives rise
to a proper Fredholm action of a path group on a path space via the gauge transformations …